683A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 683A to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert 683A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 683A by 16⁰, multiply the second to last digit in 683A by 16¹, multiply the third to last digit in 683A by 16², multiply the fourth to last digit in 683A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
3 × 16¹ = 48
8 × 16² = 2048
6 × 16³ = 24576

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

10 + 48 + 2048 + 24576 = 26682

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

26682 ÷ 2 = 13341 with 0 remainder
13341 ÷ 2 = 6670 with 1 remainder
6670 ÷ 2 = 3335 with 0 remainder
3335 ÷ 2 = 1667 with 1 remainder
1667 ÷ 2 = 833 with 1 remainder
833 ÷ 2 = 416 with 1 remainder
416 ÷ 2 = 208 with 0 remainder
208 ÷ 2 = 104 with 0 remainder
104 ÷ 2 = 52 with 0 remainder
52 ÷ 2 = 26 with 0 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to 683A hexadecimal to binary:

683A hexadecimal = 110100000111010 binary

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683B hexadecimal to binary
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